{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "aNCFuNk_HjSW"
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from gensim.models import LdaModel, CoherenceModel\n",
    "from gensim import corpora"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "BmMsswItIJXI"
   },
   "outputs": [],
   "source": [
    "os.chdir('./Popular_Film_Issues/Estafeta_cleaned')\n",
    "path = os.getcwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "z9xx8ghuHk3U"
   },
   "outputs": [],
   "source": [
    "def read_text_file(file_path):\n",
    "    with open(file_path, 'r') as file:\n",
    "        text = file.read()\n",
    "        file.close()\n",
    "    return text\n",
    "corpus = []\n",
    "for file in sorted(os.listdir()):\n",
    "    # Check whether file is in text format or not\n",
    "    if file.endswith(\".txt\"):\n",
    "        file_path = f\"{path}/{file}\"\n",
    "        # call read text file function, save as dictionary and list\n",
    "        text = read_text_file(file_path).split()\n",
    "        corpus.append(text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "bHYY0PXkIW-I"
   },
   "outputs": [],
   "source": [
    "dirichlet_dict = corpora.Dictionary(corpus)\n",
    "bow_corpus = [dirichlet_dict.doc2bow(text) for text in corpus]\n",
    "\n",
    "# Considering 1-20 topics, as the last is cut off\n",
    "num_topics = list(range(21)[1:])\n",
    "num_keywords = 20\n",
    "\n",
    "LDA_models = {}\n",
    "LDA_topics = {}\n",
    "for i in num_topics:\n",
    "    LDA_models[i] = LdaModel(corpus=bow_corpus,\n",
    "                             id2word=dirichlet_dict,\n",
    "                             num_topics=i,\n",
    "                             update_every=1,\n",
    "                             chunksize=len(bow_corpus),\n",
    "                             passes=50,\n",
    "                             alpha='auto',\n",
    "                             random_state=42)\n",
    "\n",
    "    shown_topics = LDA_models[i].show_topics(num_topics=i, \n",
    "                                             num_words=num_keywords,\n",
    "                                             formatted=False)\n",
    "    LDA_topics[i] = [[word[0] for word in topic[1]] for topic in shown_topics]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "HaJFsKUwIykz"
   },
   "outputs": [],
   "source": [
    "def jaccard_similarity(topic_1, topic_2):\n",
    "    \"\"\"\n",
    "    Derives the Jaccard similarity of two topics\n",
    "\n",
    "    Jaccard similarity:\n",
    "    - A statistic used for comparing the similarity and diversity of sample sets\n",
    "    - J(A,B) = (A ∩ B)/(A ∪ B)\n",
    "    - Goal is low Jaccard scores for coverage of the diverse elements\n",
    "    \"\"\"\n",
    "    intersection = set(topic_1).intersection(set(topic_2))\n",
    "    union = set(topic_1).union(set(topic_2))\n",
    "                    \n",
    "    return float(len(intersection))/float(len(union))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "E5Go0Ra8JLuR"
   },
   "outputs": [],
   "source": [
    "LDA_stability = {}\n",
    "for i in range(0, len(num_topics)-1):\n",
    "    jaccard_sims = []\n",
    "    for t1, topic1 in enumerate(LDA_topics[num_topics[i]]): # pylint: disable=unused-variable\n",
    "        sims = []\n",
    "        for t2, topic2 in enumerate(LDA_topics[num_topics[i+1]]): # pylint: disable=unused-variable\n",
    "            sims.append(jaccard_similarity(topic1, topic2))    \n",
    "        \n",
    "        jaccard_sims.append(sims)    \n",
    "    \n",
    "    LDA_stability[num_topics[i]] = jaccard_sims\n",
    "                \n",
    "mean_stabilities = [np.array(LDA_stability[i]).mean() for i in num_topics[:-1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "1thwTURYJOHa"
   },
   "outputs": [],
   "source": [
    "coherences = [CoherenceModel(model=LDA_models[i], texts=corpus, dictionary=dirichlet_dict, coherence='c_v').get_coherence()\\\n",
    "              for i in num_topics[:-1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "mC2SCzIdJQCh"
   },
   "outputs": [],
   "source": [
    "coh_sta_diffs = [coherences[i] - mean_stabilities[i] for i in range(num_keywords)[:-1]] # limit topic numbers to the number of keywords\n",
    "coh_sta_max = max(coh_sta_diffs)\n",
    "coh_sta_max_idxs = [i for i, j in enumerate(coh_sta_diffs) if j == coh_sta_max]\n",
    "ideal_topic_num_index = coh_sta_max_idxs[0] # choose less topics in case there's more than one max\n",
    "ideal_topic_num = num_topics[ideal_topic_num_index]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 638
    },
    "id": "AVqDasUWJS5p",
    "outputId": "6fb14be0-ea81-4e9e-a0d7-951c2733aee7"
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10))\n",
    "ax = sns.lineplot(x=num_topics[:-1], y=mean_stabilities, label='Average Topic Overlap')\n",
    "ax = sns.lineplot(x=num_topics[:-1], y=coherences, label='Topic Coherence')\n",
    "\n",
    "ax.axvline(x=ideal_topic_num, label='Ideal Number of Topics', color='black')\n",
    "ax.axvspan(xmin=ideal_topic_num - 1, xmax=ideal_topic_num + 1, alpha=0.5, facecolor='grey')\n",
    "\n",
    "y_max = max(max(mean_stabilities), max(coherences)) + (0.10 * max(max(mean_stabilities), max(coherences)))\n",
    "ax.set_ylim([0, y_max])\n",
    "ax.set_xlim([1, num_topics[-1]-1])\n",
    "                \n",
    "ax.axes.set_title('Model Metrics per Number of Topics', fontsize=25)\n",
    "ax.set_ylabel('Metric Level', fontsize=20)\n",
    "ax.set_xlabel('Number of Topics', fontsize=20)\n",
    "plt.legend(fontsize=20)\n",
    "plt.savefig('../../Visualizations/Ideal_num_of_Topics.pdf', bbox_inches='tight')\n",
    "plt.show()   "
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "Ideal_Num_of_Topics.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
